Factoring (Sum and Difference of Two Cubes)

Front

What is the formula for factoring the sum of two cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Tags

CCSS.HSA.APR.C.4

Front

What is the formula for factoring the difference of two cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 216x³ + 125

Back

(6x + 5)(36x² - 30x + 25)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: x³ - 343

Back

(x - 7)(x² + 7x + 49)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 8x³ - 27

Back

(2x - 3)(4x² + 6x + 9)

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 27x³ + 8

Back

(3x + 2)(9x² - 6x + 4)

Tags

CCSS.HSA.APR.C.4

Front

What is the first step in factoring a sum or difference of cubes?

Back

Identify a and b such that the expression can be written as a³ ± b³.

Tags

CCSS.HSA.APR.C.4

Front

What is the significance of the middle term in the factored form of a sum of cubes?

Back

It is negative in the sum of cubes and positive in the difference of cubes.

Tags

CCSS.HSA.APR.C.4

Front

How do you determine if an expression is a sum or difference of cubes?

Back

Check if both terms are perfect cubes and if the operation is either addition or subtraction.

Tags

CCSS.8.EE.A.2

Front

What is the factored form of 64 + 27?

Back

(4 + 3)(16 - 12 + 9) = (7)(13)

Tags

CCSS.HSA.APR.C.4